452842106976 has 480 divisors, whose sum is σ = 1605323301120. Its totient is φ = 122332032000.

The previous prime is 452842106921. The next prime is 452842107019. The reversal of 452842106976 is 679601248254.

452842106976 is a `hidden beast` number, since 4 + 528 + 4 + 2 + 106 + 9 + 7 + 6 = 666.

452842106976 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 238211626 + ... + 238213526.

It is an arithmetic number, because the mean of its divisors is an integer number (3344423544).

Almost surely, 2^452842106976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452842106976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802661650560).

452842106976 is an abundant number, since it is smaller than the sum of its proper divisors (1152481194144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

452842106976 is a wasteful number, since it uses less digits than its factorization.

452842106976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640 (or 2623 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 452842106976 in words is "four hundred fifty-two billion, eight hundred forty-two million, one hundred six thousand, nine hundred seventy-six".